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A057639
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First differences of zero-sites (A028442) of Mertens's function A002321.
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1
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37, 1, 18, 7, 28, 8, 44, 4, 1, 9, 1, 3, 1, 2, 48, 17, 1, 3, 1, 2, 16, 75, 2, 1, 1, 20, 2, 1, 2, 4, 1, 1, 2, 27, 8, 2, 1, 1, 2, 1, 5, 1, 5, 1, 2, 1, 1, 1, 2, 1, 109, 4, 66, 1, 27, 1, 1, 144, 4, 8, 2, 1, 2, 13, 1, 2, 9, 1, 1, 24, 1, 3, 16, 8, 6, 1, 2, 3, 4, 2, 1, 2, 5, 1, 2, 4, 3, 2, 1, 3, 1, 82, 3, 5
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OFFSET
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1,1
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COMMENTS
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Mertens's function (A002321) is oscillating. The width of its waves is given here.
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LINKS
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FORMULA
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MATHEMATICA
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Differences[Position[Accumulate[Array[MoebiusMu, 1500]], 0]//Flatten] (* Harvey P. Dale, Nov 10 2016 *)
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PROG
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(PARI) lista(kmax) = {my(s = 0, k1 = 2); for(k2 = 3, kmax, s += moebius(k2); if(s == 0, print1(k2 - k1, ", "); k1 = k2)); } \\ Amiram Eldar, Jun 09 2024
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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